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Finding the Third Proportional to 5,667,018.19 and 8,517,134.81

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Solution

The third proportional to 5,667,018.19 and 8,517,134.81 is: 12,800,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,018.19 : 8,517,134.81 = 8,517,134.81 : x
  2. Step 2: Convert to fraction form
    5,667,018.19/8,517,134.81 = 8,517,134.81/x
  3. Step 3: Cross multiply
    5,667,018.19x = 8,517,134.81 × 8,517,134.81
  4. Step 4: Simplify right side
    5,667,018.19x = 72,541,585,414,299.41
  5. Step 5: Solve for x
    x = 72,541,585,414,299.41/5,667,018.19
  6. Step 6: Final answer
    x = 12,800,662.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.